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Are the roots of E6 in 9-space ever treated as an orthogonal projection of a set of points in 11-space?

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#lie-algebras #algebraic-groups #combinatorial-geometry #polytopes #root-systems
117
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Are the 240 roots of $E_8$ in ANY special relationship with any PARTICULAR set(s) of 1296 elements of $E_8$?

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#lie-algebras #algebraic-groups #root-systems
622
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Integrality Properties of a Root String

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#lie-algebras #root-systems
86
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Is the 9-space coordinatizion of the roots of $E_6$ "nicely" related to the 8-space coordinatization of these roots as 72 roots of $E_8$?

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#algebraic-groups #root-systems #coxeter-groups
197
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Finding orbits of fundamental weights

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#representation-theory #lie-groups #lie-algebras #root-systems #coxeter-groups
50
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$E_6$, $E_8$, and Coxeter's (anti-)prismatic projections of the n-dimensional cross-polytopes

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#algebraic-groups #polytopes #root-systems
171
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Any Existing Time-Division Multiplexing Algorithm in which Slot-Allocation is Governed by the $E_8$ Root System?

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#combinations #algebraic-groups #root-systems
73
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Does any FORMAL theory of simplicity assert that "5+1+4+4 = 14" is "simpler" than "6+5+1+1+1 = 14"

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#combinations #algebraic-groups #root-systems
276
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Characteristic polynomial of a classical arrangement of hyperplanes.

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#combinatorics #algebraic-topology #root-systems
46
Views

If $E_6$ arises WITHIN $E_8$, does $E_8$ also arise FROM $E_6$?

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#lie-algebras #algebraic-groups #root-systems #coxeter-groups
75
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Decomposition of the maximal nilpotent subalgebra of the simple Lie algebra

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#reference-request #lie-algebras #root-systems
485
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Relating height to length in a root system

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#representation-theory #algebraic-groups #root-systems #coxeter-groups #reductive-groups
135
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Does this linear representation of 112 roots of $E_8$ follow from the (extended) Hamming code's relation to the $E_8$ lattice?

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#algebraic-groups #root-systems
1.1k
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Restriction of the Killing form to a Cartan subalgebra is nondegenerate

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#reference-request #lie-algebras #root-systems
333
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Is there an internally consistent nearest-neighbor relation in this complete linearization of the 240 roots of $E_8$?

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#algebraic-groups #root-systems

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